Heat 2 tablespoons of oil in a large skillet and over medium heat.In a large bowl, add the beef, potatoes, and cabbage; stir well to combine. Season with salt and pepper to taste. Spread mixture evenly in the heated pan and let a brown crust form on the bottom (about 5 minutes). Turn over to brown the other side (about another 5 minutes). While the hash is cooking, make the cream mustard sauce.
FOR THE DIJON MUSTARD CREAM SAUCE:
In a small saucepan, over medium heat, whisk together the half and half and mustard. Continue to cook, whisking occasionally, until slightly thickened, about 5 minutes. Be careful not to boil or the mixture will curdle. Season with salt and pepper.
Divide the hash between four plates, top with eggs, and drizzle with the dijon mustard cream sauce. ENJOY!!!